Three forces of magnitudes , , and are applied to a block of mass , initially at
ID: 1904594 • Letter: T
Question
Three forces of magnitudes , , and are applied to a block of mass , initially at rest, at angles shown on the diagram. (Figure 1) In this problem, you will determine the resultant (net) force by combining the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (i.e., all angles are positive). Part A Calculate the magnitude of the resultant force acting on the block. Express the magnitude of the resultant force in newtons to two significant figures. Part B What angle does make with the positive x axis? Express your answer in degrees to two significant figures. Part C What is the magnitude of the block's acceleration vector, ? Express your answer to two significant figures. Part D What is the direction of ? In other words, what angle does this vector make with respect to the positive x axis? Express your answer in degrees to two significant figures. Part E How far (in meters) will the block move in 5.0 ? Recall that it starts from rest. Express the distance in meters to two significant figures.Explanation / Answer
The resultant force vector has the following properties: Magnitude: 1.8324N Direction: 287.14° counter clockwise from the +X axis.(in quadrant 4) To answer your questions: a) 1.8324N b) The angle between the +X axis and the resultant is 360°-287.14° = 72.86° c) Magnitud of acceleration = 1.8324/2 = 0.9162m/s² d) The direction is the same as b) above: 72.86° below the +X axi